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Finding the Fourth Proportional to 28,295.94, 42,417.52 and 9,562.88

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Solution

The fourth proportional to 28,295.94, 42,417.52 and 9,562.88 is: 14,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,295.94 : 42,417.52 = 9,562.88 : x
  2. Step 2: Convert to fraction form
    28,295.94/42,417.52 = 9,562.88/x
  3. Step 3: Cross multiply
    28,295.94x = 42,417.52 × 9,562.88
  4. Step 4: Simplify right side
    28,295.94x = 405,633,441.57
  5. Step 5: Solve for x
    x = 405,633,441.57/28,295.94
  6. Step 6: Final answer
    x = 14,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.